Find Norm

Group (Subgroup)

DREAM3D Review (Statistics)

Description

This Filter computes the pth norm of an Attribute Array. Specifically, for each tuple of the array, the following is computed:

\f[ \left| \mathbf{x} \right| p := \bigg( \sum{i=1}^n \left| x_i \right| ^p \bigg) ^{1/p} \f]

where \f$ n \f$ is the number of components for the Attribute Array. When \f$ p = 2 \f$, this results in the Euclidean norm; when \f$ p = 1 \f$, this results in the Manhattan norm (also called the taxicab norm). The p-space value may be any real number greater than or equal to zero. When \f$ 0 \leq p < 1 \f$, the result may not strictly be a norm in the exact sense. Additionally, when \f$ p = 0 \f$, the result is simply the number of components for the Attribute Array.

Note: If the input array is a scalar array, the output array will contain the same values as the input array, but in 32-bit floating point precision.

Parameters

Name Type Description
p-Space Value float p-Value used for computing the norm

Required Geometry

Any

Required Objects

Kind Default Name Type Component Dimensions Description
Any Attribute Array None Any Any Input Attribute Array for computing the norm

Created Objects

Kind Default Name Type Component Dimensions Description
Attribute Array Norm float (1) Norm of the input Attribute Array

Example Pipelines

Please see the description file distributed with this plugin.

DREAM3D Mailing Lists

If you need more help with a filter, please consider asking your question on the DREAM3D Users mailing list: https://groups.google.com/forum/?hl=en#!forum/dream3d-users